Search a number
-
+
257265133 is a prime number
BaseRepresentation
bin11110101010110…
…00110111101101
3122221002102102021
433111120313231
51011324441013
641310030141
76242501056
oct1725306755
9587072367
10257265133
11122246114
12721a8351
13413b74b8
142624b72d
15178bba8d
hexf558ded

257265133 has 2 divisors, whose sum is σ = 257265134. Its totient is φ = 257265132.

The previous prime is 257265103. The next prime is 257265137. The reversal of 257265133 is 331562752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237221604 + 20043529 = 15402^2 + 4477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257265133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257265137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128632566 + 128632567.

It is an arithmetic number, because the mean of its divisors is an integer number (128632567).

Almost surely, 2257265133 is an apocalyptic number.

It is an amenable number.

257265133 is a deficient number, since it is larger than the sum of its proper divisors (1).

257265133 is an equidigital number, since it uses as much as digits as its factorization.

257265133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37800, while the sum is 34.

The square root of 257265133 is about 16039.4866813125. The cubic root of 257265133 is about 636.0046782154.

The spelling of 257265133 in words is "two hundred fifty-seven million, two hundred sixty-five thousand, one hundred thirty-three".